Answer:
The answer is C 5/4
Step-by-step explanation:
When lines are parallel and you know there is a scalar factor, make the ratio by putting the original over the dilation 15:12 or 15/12 this is the ratio and after you need to reduce by dividing by the greatest common factor. 15 and 12's GCF is 3 so (15/3)/(12/3) = 5/4.
Step-by-step explanation:
Answer: x = 40
<u>Step-by-step explanation:</u>
3x + x + 20 = 180 <em>same side (consecutive) interior angles</em>
4x + 20 = 180
4x = 160
x = 40
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Answer: x = 24
<u>Step-by-step explanation:</u>
6x - 24 + 2x + 12 = 180 <em>linear pair (supplementary angles)</em>
8x - 12 = 180
8x = 192
x = 24
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Answer: x = 16
<u>Step-by-step explanation:</u>
base angles of an isosceles triangle are congruent
2(2x + 15) + 6x - 10 = 180 <em>triangle sum theorem</em>
4x + 30 + 6x - 10 = 180
10x + 20 = 180
10x = 160
x = 16
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Let ∠1 and ∠2 represent the exterior angles in the diagram and "x" represent the same side (consecutive) interior angle with ∠1.
Then m∠1 + x = 180 <em>same side interior angle theorem</em>
and m∠2 + x = 180 <em>linear pairs are supplementary </em>
m∠1 + x = m∠2 + x <em>transitive property</em>
m∠1 = m∠2 <em>subtraction property of equality</em>
∠1 ≈ ∠2 <em>definition of congruency</em>
Step-by-step explanation:
a x^2/4
b -x^2/4+3
c 4x^2
d -x^2
80 because wht the ratio is implying is that for every boy there is the same amount of girls